Determining Magnetic Field by Ampere’s Law

The magnetic field at r distance from the wire is calculated by using Ampere’s Law. For a wire conducting I current the magnetic field at distance r is calculated using Ampere’s law and its direction is given using Right Hand Thumb Rule.

Determining Magnetic field by Ampere law

For calculating the magnetic field around the wire we draw an imaginary route at a distance r from the wire.  From the second Maxwell equation, the magnetic field integrated along this path gives the current enclosed in the wire, i.e. I.

The magnetic field does not vary with the change in the distance r. The length of the path covered is 2πr. Now using Ampere’s Law the magnetic field is given using the formula discussed in the image below,

Magnetic Field by Ampere Law Formula

Ampere’s Law

Ampere’s law is one of the standard laws of physics. According to it, “the magnetic field formed by an electric current is proportional to the magnitude of the current passing through the conductor and the constant of proportionality is equal to the permeability of space.”

Ampere law is the fundamental law that provides a Relation Between the Current and the Magnetic field around it. Let’s learn more about Ampere’s law with its Application in detail in this article.

Table of Content

  • André-Marie Ampère
  • Ampere’s Law Definition
  • Ampere’s Circuital Law Definition
  • Ampere’s Law Formula
  • Determining Magnetic Field by Ampere’s Law
  • Applications of Ampere’s Law

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